LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

Smallest permutation	Ramified	Unramified primes	Ramified prime count	Frobenius-Schur

Projective image	Projective image type

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Results (1-50 of 1347 matches)

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
21.179...056.42t299.a.a	$21$	$ 2^{18} \cdot 3^{30} \cdot 7^{16}$	$3$	7.3.112021056.1	$A_7$	$A_7$	$A_7$	$1$	$1$
21.185...416.56.a.a	$21$	$ 2^{24} \cdot 7^{32}$	$2$	9.1.72313663744.1	$\mathrm{P}\Gamma\mathrm{L}(2,8)$	${}^2G(2,3)$	56	$1$	$-3$
21.259...144.42t418.a.a	$21$	$ 2^{59} \cdot 3^{37}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.277...936.42t418.a.a	$21$	$ 2^{48} \cdot 3^{44}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$3$
21.277...936.84.a.a	$21$	$ 2^{48} \cdot 3^{44}$	$2$	7.1.60466176.2	$S_7$	$S_7$	84	$1$	$-3$
21.438...368.42t418.a.a	$21$	$ 2^{55} \cdot 3^{40}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.935...784.42t418.a.a	$21$	$ 2^{45} \cdot 3^{47}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.350...944.84.a.a	$21$	$ 2^{58} \cdot 3^{40}$	$2$	7.1.13436928.1	$S_7$	$S_7$	84	$1$	$-3$
21.622...456.84.a.a	$21$	$ 2^{62} \cdot 3^{38}$	$2$	7.1.161243136.1	$S_7$	$S_7$	84	$1$	$-3$
21.224...816.84.a.a	$21$	$ 2^{48} \cdot 3^{48}$	$2$	7.1.90699264.1	$S_7$	$S_7$	84	$1$	$-3$
21.709...616.42t418.a.a	$21$	$ 2^{56} \cdot 3^{44}$	$2$	7.1.60466176.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.709...616.84.a.a	$21$	$ 2^{56} \cdot 3^{44}$	$2$	7.1.60466176.1	$S_7$	$S_7$	84	$1$	$-3$
21.159...136.42t418.a.a	$21$	$ 2^{54} \cdot 3^{46}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.239...704.42t418.a.a	$21$	$ 2^{53} \cdot 3^{47}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.191...632.42t418.a.a	$21$	$ 2^{56} \cdot 3^{47}$	$2$	7.1.725594112.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.255...176.42t418.a.a	$21$	$ 2^{58} \cdot 3^{46}$	$2$	7.1.241864704.2	$S_7$	$S_7$	$S_7$	$1$	$3$
21.255...176.84.a.a	$21$	$ 2^{58} \cdot 3^{46}$	$2$	7.1.241864704.1	$S_7$	$S_7$	84	$1$	$-3$
21.255...176.84.b.a	$21$	$ 2^{58} \cdot 3^{46}$	$2$	7.1.241864704.2	$S_7$	$S_7$	84	$1$	$-3$
21.383...264.42t418.a.a	$21$	$ 2^{57} \cdot 3^{47}$	$2$	7.1.90699264.2	$S_7$	$S_7$	$S_7$	$1$	$3$
21.574...896.84.a.a	$21$	$ 2^{56} \cdot 3^{48}$	$2$	7.1.725594112.1	$S_7$	$S_7$	84	$1$	$-3$
21.574...896.84.b.a	$21$	$ 2^{56} \cdot 3^{48}$	$2$	7.1.90699264.2	$S_7$	$S_7$	84	$1$	$-3$
21.919...336.84.a.a	$21$	$ 2^{60} \cdot 3^{48}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	84	$1$	$-3$
21.132...249.84.a.a	$21$	$ 23^{10} \cdot 709^{10}$	$2$	7.5.11561663.1	$S_7$	$S_7$	84	$1$	$1$
21.118...104.42t299.a.a	$21$	$ 2^{18} \cdot 3^{44} \cdot 11^{16}$	$3$	7.3.50808384.1	$A_7$	$A_7$	$A_7$	$1$	$1$
21.305...727.42t418.a.a	$21$	$ 23^{11} \cdot 709^{10}$	$2$	7.5.11561663.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
21.481...216.42t299.a.a	$21$	$ 2^{18} \cdot 7^{10} \cdot 73^{16}$	$3$	7.3.16711744.1	$A_7$	$A_7$	$A_7$	$1$	$1$
21.303...449.84.a.a	$21$	$ 13^{10} \cdot 17^{10} \cdot 127^{10}$	$3$	7.1.364871.1	$S_7$	$S_7$	84	$1$	$-3$
21.153...904.42t210.a.a	$21$	$ 2^{52} \cdot 1423^{10}$	$2$	8.8.132705746944.1	$C_2^3:\GL(3,2)$	$C_2^3:\GL(3,2)$	$C_2^3:\GL(3,2)$	$1$	$21$
21.654...391.42t418.a.a	$21$	$ 13^{10} \cdot 17^{11} \cdot 127^{11}$	$3$	7.1.364871.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.179...576.84.a.a	$21$	$ 2^{30} \cdot 8363^{10}$	$2$	7.1.535232.1	$S_7$	$S_7$	84	$1$	$-3$
21.695...001.84.a.a	$21$	$ 7^{10} \cdot 31^{10} \cdot 353^{10}$	$3$	7.1.536207.1	$S_7$	$S_7$	84	$1$	$-3$
21.220...129.84.a.a	$21$	$ 7^{10} \cdot 29^{16} \cdot 89^{10}$	$3$	7.1.523943.1	$S_7$	$S_7$	84	$1$	$-3$
21.768...849.84.a.a	$21$	$ 11^{10} \cdot 14033^{10}$	$2$	7.3.1697993.1	$S_7$	$S_7$	84	$1$	$1$
21.130...761.84.a.a	$21$	$ 11^{16} \cdot 3511^{10}$	$2$	7.1.424831.1	$S_7$	$S_7$	84	$1$	$-3$
21.150...088.42t418.a.a	$21$	$ 2^{30} \cdot 8363^{11}$	$2$	7.1.535232.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.185...625.84.a.a	$21$	$ 5^{16} \cdot 37^{10} \cdot 347^{10}$	$3$	7.1.320975.1	$S_7$	$S_7$	84	$1$	$-3$
21.194...176.42t210.a.a	$21$	$ 2^{48} \cdot 1423^{12}$	$2$	8.8.132705746944.1	$C_2^3:\GL(3,2)$	$C_2^3:\GL(3,2)$	$C_2^3:\GL(3,2)$	$1$	$21$
21.229...249.84.a.a	$21$	$ 7^{10} \cdot 73^{10} \cdot 337^{10}$	$3$	7.3.1205449.1	$S_7$	$S_7$	84	$1$	$1$
21.459...249.84.a.a	$21$	$ 184607^{10}$	$1$	7.1.184607.1	$S_7$	$S_7$	84	$1$	$-3$
21.729...649.84.a.a	$21$	$ 193327^{10}$	$1$	7.1.193327.1	$S_7$	$S_7$	84	$1$	$-3$
21.739...249.84.a.a	$21$	$ 193607^{10}$	$1$	7.1.193607.1	$S_7$	$S_7$	84	$1$	$-3$
21.761...943.42t418.a.a	$21$	$ 7^{10} \cdot 31^{11} \cdot 353^{11}$	$3$	7.1.536207.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.842...649.84.a.a	$21$	$ 29^{10} \cdot 6763^{10}$	$2$	7.1.196127.1	$S_7$	$S_7$	84	$1$	$-3$
21.100...401.84.a.a	$21$	$ 199559^{10}$	$1$	7.1.199559.1	$S_7$	$S_7$	84	$1$	$-3$
21.109...601.84.a.a	$21$	$ 7^{16} \cdot 8951^{10}$	$2$	7.1.438599.1	$S_7$	$S_7$	84	$1$	$-3$
21.111...201.84.a.a	$21$	$ 17^{10} \cdot 11863^{10}$	$2$	7.1.201671.1	$S_7$	$S_7$	84	$1$	$-3$
21.115...201.84.a.a	$21$	$ 202471^{10}$	$1$	7.1.202471.1	$S_7$	$S_7$	84	$1$	$-3$
21.147...801.84.a.a	$21$	$ 7^{10} \cdot 29633^{10}$	$2$	7.3.1452017.1	$S_7$	$S_7$	84	$1$	$1$
21.150...601.84.a.a	$21$	$ 11^{10} \cdot 41^{10} \cdot 461^{10}$	$3$	7.1.207911.1	$S_7$	$S_7$	84	$1$	$-3$
21.181...801.84.a.a	$21$	$ 19^{10} \cdot 11149^{10}$	$2$	7.1.211831.1	$S_7$	$S_7$	84	$1$	$-3$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.